Activity: SAMPLING DISTRIBUTIONS OF THE SAMPLING MEANS A. Directions: Consider the given, then analyze and solve what is asked in each number. Given: A finite population of numbers has a size N = 4. The population consists of values 12, 14,16 and 18. 1. Determine the mean, standard deviation, and variance of the population. µ : 02 : Table 3.1 o : 2. Complete the details in Table 3.1 a. obtain a random sample of size n = 2 without replacement and make sure that all possible sample sets are listed b. compute the mean of each sample 3. Construct the sampling distribution of the sample means. 4. Compute the mean and standard deviation of the sampling distribution of the sample means. Use table 3.2 for nos. 3 to 4 No. Sample Sample Mean 'able 3.2 Sample Mean X p(X) (X) * p(X) (X – µx)2 * p(X) ox2 = ox = 5. Compare the mean, variance, and standard deviation of the sampling distribution of the sample means with the mean, variance, and standard deviation of the population. What generalization can be made?

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